A circular track has a radius of 50 meters. If a runner covers an arc length of 100 meters, the central angle in radians that the runner has covered is radians.
Answer & Analysis
Analysis
Question Analysis
This problem tests the student's ability to solve for the central angle given the arc length and the radius.
Key Concept Explanation
The arc length of a circle is given by , where is the radius and is the central angle in radians. Solving for involves rearranging the formula to .
Step-by-step Solution
1. Use the arc length formula ...
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